The Reds needed a win to stay alive in the race for the Australian conference, but the Force overran them with 17 unanswered points in the second half.
A late yellow card to winger Eto Nabuli - who made needless high contact with Force five-eighth Peter Grant, as he collected a high ball with less than 15 minutes to go - cruelled any chance of a Queensland comeback.
Test hooker Tatafu Polota-Nau came off the bench to seal it for the Force with his 70th-minute try, while Grant's fourth penalty of the night was the final nail in the coffin.
